Geodesic
$\pi a_1$~Transitions and low-energy limit in the linear sigma model
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 385-390

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of obtaining the correct low-energy limit in the linear sigma model with participation of vector and axial-vector mesons is discussed. In a naive treatment of the tree approximation, for example, in $\pi\pi$ scattering, the diagrams with intermediate scalar and vector mesons may lead to double counting in the scattering lengths. For the case of the scattering amplitudes and the semileptonic decay $\tau\to\nu_\tau 3\pi$ it is shown that this problem can be solved by taking into account $\pi a_1$ transitions at the external ends of the corresponding meson vertices. 
@article{TMF_1991_86_3_a7,
     author = {M. K. Volkov and A. A. Osipov},
     title = {$\pi a_1${~Transitions} and low-energy limit in the linear sigma model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {385--390},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a7/}
}
TY  - JOUR
AU  - M. K. Volkov
AU  - A. A. Osipov
TI  - $\pi a_1$~Transitions and low-energy limit in the linear sigma model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 385
EP  - 390
VL  - 86
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a7/
LA  - ru
ID  - TMF_1991_86_3_a7
ER  - 
%0 Journal Article
%A M. K. Volkov
%A A. A. Osipov
%T $\pi a_1$~Transitions and low-energy limit in the linear sigma model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 385-390
%V 86
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a7/
%G ru
%F TMF_1991_86_3_a7
M. K. Volkov; A. A. Osipov. $\pi a_1$~Transitions and low-energy limit in the linear sigma model. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 385-390. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a7/